What are the first five terms of an = 5n - 8

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It depends on how n is defined. Since n is not specified, I will. Usually these sorts of series start with 0 or 1 - - most commonly 1 so that is where I will start.

a1 = 5n - 8

a1 = 5*1 - 8

a1 = 5 - 8

a1 = - 3

a2 = 5n - 8

a2 = 5*2 - 8

a2 = 10 - 8

a2 = 2

a3 = 5n - 8

a3 = 5*3 - 8

a3 = 15 - 8

a3 = 7

a4 = 12

A5 = 17